Certain work is proposed to be completed in 54 days with 30 men. But after 36 days it is observed th

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08 Aug 2022 Time and Work

Certain work is proposed to be completed in 54 days with 30 men. But after 36 days it is observed that only 40% of the work is completed. How many more men are required to complete the work in stipulated time ?

OPtion

1) 75
2) 90
3) 45
4) 60
5) 30
6) 48
7) 63
8) 36
9) 72
10) None of these

Solution

Total days=54, Work completed with 30 men in 36 days=40%=2/5
Remaining work=1 - 2/5=3/5, Remaining days=54-36=18
Let 'x' extra men are employed to finish the work, then total new men = (30+x)
According to Men, days & work rule, 30 Men*36 Days / (2/5) Work = (30+x) Men*18 Days / (3/5) Work
30*36 / (2/5) = (30+x)*18 / (3/5)
⇒ x=60
.'. 60 extra men are required to finish the work in time of 54 days.
Correct Option 4)

Correct Option: 4 Best Solution (2)

G.S.Kantharao   1 year AGO

30men completed 40% of work in 54days
They can complete the whole work in 90days
So after 36 days work left =3/5th
In (90-36)=54days 30 can complete 3/5
In 18 days =(54/18)*30=90
So still required 60 more men
My option is 4👈

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RAMADURAI NATESAN   1 year AGO

3oM 36d (2/5)w. Balance (3/5)w.
30M 1d (1/90)w. 1M 18d (1/150)w. 150M 18d 1 W
(3/5 )w 18d = 90 M
ddl.M reqd = 60

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